What is the 963rd prime number?
The 963rd prime number is 7583. The next prime is 7589 (a gap of 6) and the one before is 7577.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 963rd one is 7583.
- 2
7583 is prime because no prime up to ā7583 ā 87.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 963rd prime is close to 963 Ć ln(963) ā 6616, and here it is 7583.
- 4
7583 has no twin: neither 7581 nor 7585 is prime.
Primes around the 963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 960 | 7561 | 2 |
| 961 | 7573 | 12 |
| 962 | 7577 | 4 |
| 963 | 7583 | 6 |
| 964 | 7589 | 6 |
| 965 | 7591 | 2 |
| 966 | 7603 | 12 |
Questions
What is the 963rd prime number?
7583.
Which prime number is 7583?
7583 is the 963rd prime number.
What is the sum of the first 963 primes?
3,396,140.